非自治Ginzburg-Landau方程在H_0~1上的后项紧拉回吸引子

Backward Compact Pullback Attractors for Non-autonomous Ginzburg-Landau Equation In H_0~1

运用一个关于后项紧的拉回吸引子的存在性定理,证明了非自治的Ginzburg-Landau方程在外力项满足一定的假设条件下,在正则空间H_0~1上存在后项紧的拉回吸引子.

In this paper,we employ an existence theorem of backward compact pullback attractor to show that the non-autonomous Ginzburg-Landau equation has a backward compact pullback attractor in H_0~1 under some suitable assumption of the external force.